A Simple Jerky Dynamics, Genesio System

• 作者: ?mür Umut Serpil Ya?ar
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: Genesio System Algebraically SIMPLE Systems JERKY DYNAMICS NEWTONIAN JERKY DYNAMICS DYNAMICAL PROPERTIES
• 年，卷（期）: 2013,（1）
• 页码范围: 60-68
• 页数: 9页
• 分类号: O1

摘要

The third order explicit autonomous differential equations named as jerk equations represent an interesting subclass of dynamical systems that can exhibit many major features of the regular and chaotic motion. In this paper, we show that an algebraically simple system, the Genesio system can be recast into a jerky dynamics and its jerk equation can be derived from one-dimensional Newtonian equation. We also investigate the global dynamical properties of the corresponding jerk system.